32 citations · 118 across the 17 of their papers we have counts for
3 papers · 2 filters
New examples of r-harmonic immersions into the sphere
Stefano Montaldo, Andrea Ratto
Polyharmonic, or -harmonic, maps are a natural generalization of harmonic maps whose study was proposed by Eells-Lemaire in 1983. The main aim of this paper is to construct new…
Biharmonic functions on the classical compact simple Lie groups
Sigmundur Gudmundsson, Stefano Montaldo, Andrea Ratto
The main aim of this work is to construct several new families of proper biharmonic functions defined on open subsets of the classical compact simple Lie groups $\SU n$, $\SO n$ an…
Reduction methods for the bienergy
Stefano Montaldo, Cezar Oniciuc, Andrea Ratto
This paper, in which we develop ideas introduced in \cite{MR}, focuses on \emph{reduction methods} (basically, group actions or, more generally, simmetries) for the bienergy. This…